Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(4(-2) - -2\times6\right)2(-4)(-4) $$
Correct Answer
$$ 128$$ or 128.000

2. Simplify 2

Simplify the following expression: $$ \frac{{\left(5 - 6\right)}^{2}}{-2 - 5 - -2(-2)} $$
Correct Answer
$$ \frac{-1}{11}$$ or -0.0909091

3. Fractions 1

Simplify the following expression: $$ \frac{-6}{6} - \frac{-4}{5} $$
Correct Answer
$$ \frac{-1}{5}$$ or -0.19999999999999996

4. Fractions 2

Simplify the following expression: $$ \frac{-5}{4}\frac{-3}{5} $$
Correct Answer
$$ \frac{3}{4}$$ or 0.75

5. Significant figures

1. Write the following to 4 significant figures: 0.0024761680
Correct Answer
0.002476 or $$2.476\times10^{-3}$$
2. Write the following to 4 significant figures: 706.39300
Correct Answer
706.4 or $$7.064\times10^{2}$$

6. Standard Form

1. Write the following in standard form to 3 significant digits: 0.00721914
Correct Answer
$$7.22\times10^{-3}$$
2. Write the following in standard form to 2 significant digits: 0.00000120330
Correct Answer
$$1.2\times10^{-6}$$

7. Significant figures

1. Write the following in preferred standard form to 2 significant digits: 0.00775
Correct Answer
$$7.7\times10^{-3}$$
2. Write the following in preferred standard form to 2 significant digits: 0.000002281
Correct Answer
$$2.3\times10^{-6}$$

8. Simplify 2

Simplify the following expression: $$ {\left(-3 + 1\right)}^{2} - \frac{6 + 6}{-3 + 1} $$
Correct Answer
$$ 10$$ or 10.0000

9. Simplify 1

Simplify the following expression: $$ 2(-2)2 - \left(5\times3 + 4 - 4\right) $$
Correct Answer
$$ -23$$ or -23.0000

10. Simplify 2

Simplify the following expression: $$ \frac{\frac{5}{-4} + -5 - 6}{2\times2(-3)} $$
Correct Answer
$$ \frac{49}{48}$$ or 1.02083


Other Articles:

Quantum Mechanics for programmers

A quick demo showing how to make simulations of simple quantum mechanics systems in javascript.

Quantum Mechanics

A no-nonsense description of quantum mechanics with no maths or philosophy. The concepts are explained with animations, which are mainly computer simulations of electrons.

German Gender and Case Game




© Hugo2015. Session @sessionNumber